Narain Gupta's three normal subgroup problem and group homology
| dc.contributor.author | Mikhailov, R. | |
| dc.contributor.author | Passi, I.B.S. | |
| dc.date.accessioned | 2020-11-23T04:17:48Z | |
| dc.date.available | 2020-11-23T04:17:48Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | This paper is about application of various homological methods to classical problems in the theory of group rings. It is shown that the third homology of groups plays a key role in Narain Gupta’s three normal subgroup problem. Fo r a free group Fand its normal subgroups R, S, T, and the corresponding ideals in the integral group ring Z[F], r =(R−1)Z[F], s =(S−1)Z[F], t =(T−1)Z[F], acomplete description of the normal subgroup F∩(1 +rst)is given, provided R⊆Tand the third, fourth and fifth homology groups of R/R∩Sare torsion groups. | en_US |
| dc.identifier.citation | Journal of Algebra, 526,pp.243-265. | en_US |
| dc.identifier.other | https://doi.org/10.1016/j.jalgebra.2019.02.007 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0021869319300900 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2030 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Group ring | en_US |
| dc.subject | Homology of groups | en_US |
| dc.subject | Derived functors of non-additive functors | en_US |
| dc.subject | Free group ring | en_US |
| dc.title | Narain Gupta's three normal subgroup problem and group homology | en_US |
| dc.type | Article | en_US |